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x^(n)+ y^(n) is divisible by...

`x^(n)+ y^(n)` is divisible by

A

`x- " y for all "n in N`

B

`x+ " y for all "n in N`

C

`x + " y for all "n=2m -1, m in N`

D

`x + " y for all "n = 2m, m in N`

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The correct Answer is:
C
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